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Simplifying 7 + -2(2x + 1) = x + -5 Reorder the terms: 7 + -2(1 + 2x) = x + -5 7 + (1 * -2 + 2x * -2) = x + -5 7 + (-2 + -4x) = x + -5 Combine like terms: 7 + -2 = 5 5 + -4x = x + -5 Reorder the terms: 5 + -4x = -5 + x Solving 5 + -4x = -5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + -4x + -1x = -5 + x + -1x Combine like terms: -4x + -1x = -5x 5 + -5x = -5 + x + -1x Combine like terms: x + -1x = 0 5 + -5x = -5 + 0 5 + -5x = -5 Add '-5' to each side of the equation. 5 + -5 + -5x = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -5x = -5 + -5 -5x = -5 + -5 Combine like terms: -5 + -5 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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